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SUMMARY:Zoltan Bajnok (Wigner Research Centre for Physics)
DTSTART:20210224T133000Z
DTEND:20210224T143000Z
DTSTAMP:20260423T021410Z
UID:SISSAHEP/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SISSAHEP/4/"
 >From perturbative to non-perturbative in the O(4) sigma model</a>\nby Zol
 tan Bajnok (Wigner Research Centre for Physics) as part of SISSA HEP semin
 ars\n\n\nAbstract\nIs it possible to derive non-perturbative contributions
  in a quantum field theory\nknowing only the perturbative coefficients? We
  answer this question affirmatively\nbased on the careful analysis of the 
 integrable two dimensional O(4) sigma model.\nWe investigate its ground st
 ate energy in a magnetic field\, for which integrability\nprovides an exac
 t linear integral equation. By cleverly expanding this equation\nwe could 
 calculate a large number of very percise\, factorially growing perturbativ
 e\ncoefficients. By investigating their asymptotical behaviour on the Bore
 l plane we\nmanaged to reveal a nice resurgence structure leading to the f
 irst few exponentially\nsupressed non-perturbative terms of the ambiguity 
 free trans-series.  We checked\nour results against the direct numerical s
 olution of the exact integral equation\nand find complete agreement.\n
LOCATION:https://researchseminars.org/talk/SISSAHEP/4/
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